λ
Integer Codex

5,550,727

7 × 13 × 181 × 337
Deficient Odd Composite

For 5,550,727, the 16 positive divisors have a total of 6,889,792. Removing 5,550,727 leaves 1,339,065, which gives the deficient classification.

Prime Factor Structure

Factorization String 7 × 13 × 181 × 337
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,889,792
Proper Divisor Sum 1,339,065
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5550719 ← → #5550733

Radix Representation

Decimal 5550727
Binary 10101001011001010000111 (23 bits)
Octal 0o25131207
Hexadecimal 0x54B287

Divisor Catalog (16)

1 7 13 91 181 337 1,267 2,353 2,359 4,381 16,471 30,667 60,997 426,979 792,961 5,550,727

Collatz Trajectory (139 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

5,550,727 16,652,182 8,326,091 24,978,274 12,489,137 37,467,412 18,733,706 9,366,853 28,100,560 14,050,280 7,025,140 3,512,570 1,756,285 5,268,856 2,634,428 1,317,214 658,607 1,975,822 987,911 2,963,734 1,481,867 4,445,602 2,222,801 6,668,404 3,334,202 1,667,101 5,001,304 2,500,652 1,250,326 625,163 1,875,490 937,745 2,813,236 1,406,618 703,309 2,109,928 1,054,964 527,482 263,741 791,224 395,612 197,806 98,903 296,710 148,355 445,066 222,533 667,600 333,800 166,900 83,450 41,725 125,176 62,588 31,294 15,647 46,942 23,471 70,414 35,207

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